5117779296 has 144 divisors (see below), whose sum is σ = 16721123328. Its totient is φ = 1454457600.

The previous prime is 5117779279. The next prime is 5117779313. The reversal of 5117779296 is 6929777115.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5117779279) and next prime (5117779313).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378411 + ... + 391701.

It is an arithmetic number, because the mean of its divisors is an integer number (116118912).

Almost surely, 2^5117779296 is an apocalyptic number.

5117779296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5117779296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8360561664).

5117779296 is an abundant number, since it is smaller than the sum of its proper divisors (11603344032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5117779296 is a wasteful number, since it uses less digits than its factorization.

5117779296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13505 (or 13494 counting only the distinct ones).

The product of its digits is 1666980, while the sum is 54.

The square root of 5117779296 is about 71538.6559560634. The cubic root of 5117779296 is about 1723.2985304833.

The spelling of 5117779296 in words is "five billion, one hundred seventeen million, seven hundred seventy-nine thousand, two hundred ninety-six".